Determine the largest 3 digit number which is exactly divisible by 8, 10, and 12.
We will find the least common multiple (LCM) of 8, 10 and 12
Answer: The largest 3-digit number which is exactly divisible by 8, 10, and 12 is 960
We will list the multiples of 8, 10 and 12 and then identify the LCM of 8, 10 and 12
Explanation:
We will find the LCM of 8, 10, and 12
The LCM of 8, 10, and 12 is 120
Now, we will find the largest 3-digit multiple of 120
The multiples of 120 are 120, 240, 360, 480, 600, 720, 840, 960, 1080
So, the largest 3-digit multiple of 120 is 960